A Closed-Form Solution To Kepler's Equation (Preprint)

A short paper that derives a closed form solution to Kepler's equation derived from Lagrange's inversion theorem, this, by applying the inverse mellin transform over the mellin transform of said formula, and then manipule it until it reaches a state that can actually be used, while still being an exact answer. Active development. Minor correction: The methods and results are correct, but right after eq. (14) some conditions are discussed, and instead of 1/s\int_{a}^{0}f(t)^{is}dt being analytic for 0<Re(s)<q, it is instead 1/s\int_{a}^{0}f(t)^{s}dt, sorry for possible confussion